Divide (5x^3-32x^2-36x-9)/(5x+3)

5×3-32×2-36x-95x+3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 5x + 3 5×3 – 32×2 – 36x – 9
Divide the highest order term in the dividend 5×3 by the highest order term in divisor 5x.
 x2 5x + 3 5×3 – 32×2 – 36x – 9
Multiply the new quotient term by the divisor.
 x2 5x + 3 5×3 – 32×2 – 36x – 9 + 5×3 + 3×2
The expression needs to be subtracted from the dividend, so change all the signs in 5×3+3×2
 x2 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x2 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2
Pull the next terms from the original dividend down into the current dividend.
 x2 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x
Divide the highest order term in the dividend -35×2 by the highest order term in divisor 5x.
 x2 – 7x 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x
Multiply the new quotient term by the divisor.
 x2 – 7x 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x – 35×2 – 21x
The expression needs to be subtracted from the dividend, so change all the signs in -35×2-21x
 x2 – 7x 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x2 – 7x 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x
Pull the next terms from the original dividend down into the current dividend.
 x2 – 7x 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x – 9
Divide the highest order term in the dividend -15x by the highest order term in divisor 5x.
 x2 – 7x – 3 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x – 9
Multiply the new quotient term by the divisor.
 x2 – 7x – 3 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x – 9 – 15x – 9
The expression needs to be subtracted from the dividend, so change all the signs in -15x-9
 x2 – 7x – 3 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x – 9 + 15x + 9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x2 – 7x – 3 5x + 3 5×3 – 32×2 – 36x – 9 – 5×3 – 3×2 – 35×2 – 36x + 35×2 + 21x – 15x – 9 + 15x + 9 0
Since the remander is 0, the final answer is the quotient.
x2-7x-3
Divide (5x^3-32x^2-36x-9)/(5x+3)